465678720 has 320 divisors, whose sum is σ = 1793539440. Its totient is φ = 114462720.

The previous prime is 465678713. The next prime is 465678737. The reversal of 465678720 is 27876564.

465678720 is a `hidden beast` number, since 4 + 6 + 567 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673575 + ... + 674265.

Almost surely, 2^465678720 is an apocalyptic number.

465678720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896769720).

465678720 is an abundant number, since it is smaller than the sum of its proper divisors (1327860720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465678720 is a wasteful number, since it uses less digits than its factorization.

465678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 465678720 is about 21579.5903575578. The cubic root of 465678720 is about 775.1078420863.

The spelling of 465678720 in words is "four hundred sixty-five million, six hundred seventy-eight thousand, seven hundred twenty".